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Finding the Third Proportional to 32,357.25 and 72,247.50

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Solution

The third proportional to 32,357.25 and 72,247.50 is: 161,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357.25 : 72,247.50 = 72,247.50 : x
  2. Step 2: Convert to fraction form
    32,357.25/72,247.50 = 72,247.50/x
  3. Step 3: Cross multiply
    32,357.25x = 72,247.50 × 72,247.50
  4. Step 4: Simplify right side
    32,357.25x = 5,219,701,256.25
  5. Step 5: Solve for x
    x = 5,219,701,256.25/32,357.25
  6. Step 6: Final answer
    x = 161,314.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.